Recent Contributions to Fixed Point Theory and Its Applications
1University of Texas at El Paso, El Paso, TX, USA
2Brock University, St. Catharines, ON, Canada
3Louisiana Tech University, Ruston, LA, USA
Recent Contributions to Fixed Point Theory and Its Applications
Description
Fixed point theorems give the conditions under which maps (single or multivalued) have solutions. The theory itself is a beautiful mixture of analysis, topology, and geometry. Over the last 50 years or so the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game theory, and physics. The aim of this special issue is to report new fixed point theorems and their applications where the essentiality of the fixed point theorems is highlighted. This special issue will accept good quality papers containing original research results of exceptional merit. The research topics include, but are not limited to:
- Degree and fixed point index for various types of maps
- Lefschetz and Nielsen theories
- Algebraic topology methods in the context of the Leray-Schauder theory
- KKM maps and theory of games and economics
- Fixed point algorithms for computing fixed points
- Fixed points for set-valued maps
- Nonexpansive mappings in Banach and metric spaces
- Multivalued mappings in Banach and metric spaces
- Monotone mappings in ordered sets
- Multivalued mappings in ordered sets
- Applications to nonmetric spaces like modular function spaces
- Applications to logic programming and directed graphs
Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/rcfp/ according to the following timetable: